GCD of 200, 546, 477 Calculator

Given Input numbers are 200, 546, 477

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 200, 546, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 546, 477 is 1.

Therefore, GCD of numbers 200, 546, 477 is 1

Given Input Data is 200, 546, 477

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 477 is 3 x 3 x 53

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(200, 546) = 54600

GCD(200, 546) = ( 200 x 546 ) / 54600

GCD(200, 546) = 109200 / 54600

GCD(200, 546) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 477

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 477) = 954

GCD(2, 477) = ( 2 x 477 ) / 954

GCD(2, 477) = 954 / 954

GCD(2, 477) = 1

GCD of 200, 546, 477 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 845, 638
• GCD of 525, 196, 794
• GCD of 570, 905, 845
• GCD of 256, 345, 733
• GCD of 522, 761, 730

1. What is the GCD of 200, 546, 477?

GCD of 200, 546, 477 is 1

2. Where do I get the detailed procedure to find GCD of 200, 546, 477?

You can find a detailed procedure to find GCD of 200, 546, 477 on our page.

3. How to find GCD of 200, 546, 477 on a calculator?

You can find the GCD of 200, 546, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.